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Finding the Fourth Proportional to 11,478.11, 17,189.82 and 7,971.62

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Solution

The fourth proportional to 11,478.11, 17,189.82 and 7,971.62 is: 11,938.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.11 : 17,189.82 = 7,971.62 : x
  2. Step 2: Convert to fraction form
    11,478.11/17,189.82 = 7,971.62/x
  3. Step 3: Cross multiply
    11,478.11x = 17,189.82 × 7,971.62
  4. Step 4: Simplify right side
    11,478.11x = 137,030,626.96
  5. Step 5: Solve for x
    x = 137,030,626.96/11,478.11
  6. Step 6: Final answer
    x = 11,938.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.